Quantum Bi-Hamiltonian systems, alternative Hermitian structures and Bi-Unitary transformations
Marmo, G. ; Scolarici, G. ; Simoni, A. ; Ventriglia, F.
arXiv, 0504065 / Harvested from arXiv
We discuss the dynamical quantum systems which turn out to be bi-unitary with respect to the same alternative Hermitian structures in a infinite-dimensional complex Hilbert space. We give a necessary and sufficient condition so that the Hermitian structures are in generic position. Finally the transformations of the bi-unitary group are explicitly obtained.
Publié le : 2005-04-21
Classification:  Mathematical Physics,  High Energy Physics - Theory,  Quantum Physics
@article{0504065,
     author = {Marmo, G. and Scolarici, G. and Simoni, A. and Ventriglia, F.},
     title = {Quantum Bi-Hamiltonian systems, alternative Hermitian structures and
  Bi-Unitary transformations},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0504065}
}
Marmo, G.; Scolarici, G.; Simoni, A.; Ventriglia, F. Quantum Bi-Hamiltonian systems, alternative Hermitian structures and
  Bi-Unitary transformations. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504065/